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Finding the Fourth Proportional to 56,905.92, 78,530.40 and 33,046.56

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Solution

The fourth proportional to 56,905.92, 78,530.40 and 33,046.56 is: 45,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,905.92 : 78,530.40 = 33,046.56 : x
  2. Step 2: Convert to fraction form
    56,905.92/78,530.40 = 33,046.56/x
  3. Step 3: Cross multiply
    56,905.92x = 78,530.40 × 33,046.56
  4. Step 4: Simplify right side
    56,905.92x = 2,595,159,575.42
  5. Step 5: Solve for x
    x = 2,595,159,575.42/56,905.92
  6. Step 6: Final answer
    x = 45,604.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.